In how many ways can you choose a jury of 12 members from a group of 9 men and 11 women given the following conditions:
a) The jury is comprised of 6 men and 6 women?
b) The jury is comprised of at most 4 men?
c) The jury is comprised of at least 7 women?

Answers

Answer 1

The number of ways for 6men and 6 women is; 38,808 ways.

The number of ways format least 4 men is; 25,905 ways.

The number of ways for at most 7 women is; 67,485 ways.

What is the possible number of combinations for each scenario?

The number of ways to choose the jury of 12 members from a group of 9 men and 11 women given the following conditions are evaluated as follows;

a). For 6 men and 6 women; we have

= 9C6 × 11C6 = 84 × 462 = 38,808 ways.

b). For at most 4 men; we have;

= (9C4 ×11C8) + (9C3 × 11C9) + (9C2 × 11C10) + (9C1 × 11C11) = 20,790 + 4,620 + 396 + 99 = 25,905 ways.

c). For at least 7 women; we have;

= (9C5 × 11C7) + (9C4 ×11C8) + (9C3 × 11C9) + (9C2 × 11C10) + (9C1 × 11C11) = 41,580 + 25,905 = 67,485 ways.

Related Questions

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

-1.75

Step-by-step explanation:

We know that the midpoint formula is [for the x-coordinate per say] x = 1/2x1 + 1/2x2. If we want to find a point that lies 1/4th of the way we use x = 3/4x1 + 1/4x1. How? Because the point lies 1/4th from one endpoint and 3/4th from the other.

x = 3/4x1 + 1/4x2,

x = 3/4(-3) + 1/4(2) = -9/4 + 2/4 = -7/4

= - 1.75

--- There is an easier way to do it though, but it is really vague so you should not use it. We can form a triangle with MN being the hypotenuse. What would the length of the legs be? They would be 6 and 5. Now let's form a triangle 1/4th of that. 6/4 = 1.5 and 5/4 = 1.25. If you look at the diagram, start from point N move up 1.5 units and over 1.25 forming our mini triangle. You can see the x-axis has a value of -1.75.

Name the three points shown by black dots on the graph below as ordered pairs. Put a comma and a space between each ordered pair.

Answers

Answer:

(10, 40), (15, 60), (25, 100)

Step-by-step explanation:

(x, y) = (10, 40) means x = 10, y = 40

Which scenario could be represented by this graph?

Answers

Answer:

its is (b) turns the oven on

Answer:

Step-by-step explanation:

I did the test

What is the coefficient of q in the sum of these two expressions?
(23q – 34) and (–16q – r)

A. 2/3
B. 3/4
C. 1/2
D. 1

Answers

answer:

1/2 bc 2/3-1/6 is equal to 4/6-1/6=3/6.

3/6=1/2

Step-by-step explanation:

love the oikawa pfp

The coefficient of {q} in the sum of the given expressions is 7.

What is expression?

A mathematical expression is a combination of terms both constants and variables. For example, we can write -

2x + 3y + 5

4x + 5

Given are the expressions as -

(23q – 34) and (–16q – r)

We can write the sum of the given expressions as -

(23q – 34) + (–16q – r)

(23q - 16q) - r - 34

7q - r - 34

Here -

(7)q - r - 34

(7) is the coefficient of {q}.

Therefore, the coefficient of {q} in the sum of the given expressions is 7.

To solve more questions on coefficients, visit the link below

https://brainly.com/question/13431100

#SPJ2

A function is shown on the graph what is the domain of the function?

Answers

Answer:

you need to add the graph

Answer:

no graf

Step-by-step explanation:

Heather's desk is 3 feet long. About how long is it in meters? Use 1 foot = 0.305

Answers

Answer:

0.9144 or 0.9 (rounded)

Step-by-step explanation:

0.3048*3= 0.9144 (0.9 rounded up)

0.305*3= 0.915 (0.9 rounded up)

Hope this helped! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Have a nice day! ( ﾟдﾟ)つ Bye

PLEASE ANSWER ASAP!!! 45 POINTS!

Answers

Answer:

x =2 [tex]\\\sqrt{24[/tex]

Step-by-step explanation:

a2+b2=c2

(10*10)+(8*8)=x

Which one is the answer ?

Answers

The answer is J.....

5y=120 and 2x=108 FIND THE MISSING VALUES

Answers

Answer:

To solve these, we will divide on both.

[tex]5y = 120\\\\y = 24[/tex]

[tex]2x = 108\\\\x = 54[/tex]

The y is equal to 24 & The x is equal to 54

I WILL GIVE BRAINLIEST TT

Answers

Answer:

Step-by-step explanation:

Yeah its 2 I can explain but will be long but if want comment and I will post but most likely its 2

if f(x)=9x-2 find the value of expression f(5)

Answers

Answer:

f(x)=43

Step-by-step explanation:

you put the 5 in the places where the x is so

F(5)=9(5)-2

45-2=43

3(x + 2) = -5 - 2(x - 3) *

Answers

Answer:

x = -1

Step-by-step explanation:

3(x + 2) = -5 -2(x-3)

open parenthesis

3 * x + 3 * 2 = -5 + -2 * x + -2 * -3

3x + 6 = - 5 - 2x + 6

subtract 6 from both sides

3x + 6 - 6 = -5 - 2x + 6

3x = -5 -2x

add 2x from both sides

3x + 2x = -5 - 2x + 2x

5x = -5

divide both sides of the equation by 5

5x/5 = -5/5

x = -5/5

x = -1

Find the UNIT RATE:
10 miles: 5 hours
A.2 hours: 1 mile
B.1 hour : 2 miles
C.2 miles: 1 hour
D.1 mile: 2 hours

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Helllllpppp ASAP!!!!! Figure S is the result of a transformation on Figure R. Which transformation would accomplish this?

Answers

Answer:

Step-by-step explanation:

Find the measure of <1

Answers

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

need help asap this is due in 20 min!!! i will gove brainliest too! questions 8-11

Answers

8. x= 7

9. x= 9

10. x= -10

11. x= -18

What is -2-(-7)

Plssssss explain

Answers

Answer:

Step-by-step explanation:

Showing the work:

= -2-(-7)

= -2--7

= -2+7

= 5

Answer:

Step-by-step explanation:

the answer is up at the top

can some tell me what does the tooth fairy do with the bones that come out of my face

Answers

Answer:

The tooth does very creepy stuff I have heard that she gives our teeth to the dentist for dental purposes, or even eats our teeth. I am disgusted by this already so this is your answer.

Step-by-step explanation:

"The output is 5 less than twice the input

Answers

Answer:

x=2x-5

Im pretty sure that's it

Dianne went to the grocery store and bought 4 pounds of chicken at $3 per pound, 5 cans of green beans at $0.88 each and 2 pounds of potatoes at $1.80 per pound. If she paid with a . $50 bill, how much change will Dianne have?

Answers

Answer:

30 dollars is the amount of change she will have

Answer:

$30 is the amount of change she will have.

Step-by-step explanation:

Alejandro uses the steps below to convert StartFraction 5 over 8 EndFraction to a percent. Five-eighths right arrow 8.0 divided by 5 = 1.6. 1.6 = 160 percent. Which best explains Alejandro’s error? The division was computed incorrectly. The division was completed in the incorrect order. The decimal was moved to the right too many times. The decimal was moved to the right instead of the left.

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the slope of the line that passes through each pair of points.
C(0, –2), D(3, -2)

Answers

Answer:

Step-by-step explanation:

y2-y1/x2-x1

-2+2/3-0

0/3

= 0

HELP PLS!!!! SOLVE ALGEBRA

Answers

Answer:

#11) D) x<0 or x≥7

Step-by-step explanation:

Hope this helps

A proportional relationship between y and x. When x = 3, y=−4 .

What is the constant of proportionality, k?

Enter your answer as a simplified or improper fraction in the box.

k =

Answers

Answer:

k = 4/3

Step-by-step explanation:

Formula for k: y/x

If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:

k = 4/3

Cecilia watched 1 2 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Cecilia watch at night?

Answers

Answer: 1/6 of the movie.

Step-by-step explanation:

First, she watches 1/2 of the movie.

This means that if the movie lasts N minutes, the time left is:

N - (1/2)*N = (1/2)*N.

Then she watches another part of the movie, let's call it as a*N, and after that, she has 1/3 of the movie left, we can write this situation as:

(1/2)*N - a*N = (1/3)*N

we can divide by N in both sides to get

(1/2) - a = (1/3)

(1/2) - (1/3) = a

3/6 - 2/6 = a

1/6 = a

So we can conclude that she watched 1/6 of the movie at night.

WHAT IS THE RATE OF CHANGE HELP!!

Answers

Answer:

B) Y=85x

Step-by-step explanation:

The actual rate of change is 75 so you need to find which one(s) have a greater one. The other 2 that are equations have a less rate of change so it is B.

Hope this helps. Pls give brainliest.

Click on photo if neccessary

Answers

the answer would be C

Jody bought some scarves that cost $8
each. She spent a total of $40. How
many scarves did she buy?

Answers

Answer:

5 scarves

Step-by-step explanation:

8x5=40

She spent $40 so divide it by the cost of each which is $8 and in total she bought 5 scarves

Caroline is working two summer jobs, Making $19 per hour lifeguarding and making $10 per hour washing cars. In a given week she could work no more than 15 total hours and was earn a minimum of $200. Also she must work a minimum of eight hours lifeguarding and a minimum of two hours washing cars, write and solve a system of inequalities graphically And determine one possible solution

Answers

Answer:

12 hours

Step-by-step explanation:

3 hours landscaping = $36

She still needs to make $224 to meet her requirement.

$224 divided by $19 tutoring = 11.79 hours

224÷19=11.79

Rounded to the nearest whole number: 12

This would mean Makayla worked a total of 15 hours and made $264. Which meets her requirements.

ABCD is a kite with AB≈BC.

Answers

Answer:

Line BD⊥ Line AC

ΔDMC ≅ ΔDMA

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In how many ways can you choose a jury of 12 members from a group of 9 men and 11 women given the following conditions: a) The jury is comprised of 6 men and 6 women? b) The jury is comprised of at most 4 men? c) The jury is comprised of at least 7 women?

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In how many ways can you choose a jury of 12 members from a group of 9 men and 11 women given the following conditions:
a) The jury is comprised of 6 men and 6 women?
b) The jury is comprised of at most 4 men?
c) The jury is comprised of at least 7 women?